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首页> 外文期刊>Applied Mathematical Modelling >An inverse non-Fourier heat conduction problem approach for estimating the boundary condition in electronic device
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An inverse non-Fourier heat conduction problem approach for estimating the boundary condition in electronic device

机译：用于估计电子设备边界条件的逆非傅立叶导热问题方法

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摘要

This study is intended to provide an inverse method for estimating the unknown boundary condition T(0,y,t) in a non-Fourier heat conduction electronic device. In this study, finite-difference methods are employed to discretize the problem domain, and then a linear inverse model is constructed to identify the unknown boundary condition. The present approach is to rearrange the matrix forms of the differential governing equations and to estimate the unknown conditions. Then, the linear least-squares method is adopted to obtain the solution. The results show that one measuring point is sufficient to estimate the unknown boundary condition T(0,y,t) without measurement errors. When considering the measurement errors, the magnitudes of the discrepancies in the boundary condition T(0,y,t) are directly proportional to the size of measurement errors. Due to the complicated reflection and interaction of the thermal waves, this phenomenon reflects the fact that the inverse non-Fourier heat conduction problem is different from the inverse Fourier heat conduction problem. In contrast to the traditional approach, the advantage of applying this method in inverse analysis is that no prior information is needed on the functional form of the unknown quantities. In addition, no initial guess is required and the calculation can be done in only one iteration.
机译：本研究旨在提供一种估计非傅立叶导热电子设备中未知边界条件T（0，y，t）的逆方法。在这项研究中，采用有限差分方法离散问题域，然后构建线性逆模型以识别未知边界条件。本方法是重新排列微分控制方程的矩阵形式并估计未知条件。然后，采用线性最小二乘法获得解。结果表明，一个测量点足以估计未知边界条件T（0，y，t），而没有测量误差。在考虑测量误差时，边界条件T（0，y，t）中差异的大小与测量误差的大小成正比。由于热波的复杂反射和相互作用，这种现象反映了以下事实：逆非傅立叶导热问题不同于逆傅立叶导热问题。与传统方法相反，在逆分析中应用此方法的优点是不需要有关未知量功能形式的先验信息。另外，不需要初始猜测，并且仅一次迭代即可完成计算。

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  • 来源
    《Applied Mathematical Modelling》 |2004年第7期|p.639-652|共14页
  • 作者

    Pao-Tung Hsu; Yuan-Hsiang Chu;

  • 作者单位

    Department of Industrial Management, Shu-Te University, No. 59, Hun-Shan Road, Hun-Shan Village, Yen Chau, Kaohsiung County, Taiwan, ROC;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 应用数学;
  • 关键词

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